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Year 2017, Volume: 46 Issue: 5, 791 - 799, 01.10.2017

Abstract

References

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  • Borzooei, R.A., Farahani, H. and Moniri, M., Neutrosophic deductive lters on BL-algebras, Journal of Intelligent and Fuzzy Systems 26 (6), 2993-3004, 2014.
  • Çetkin, V. and Aygün, H., An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29, 1941-1947, 2015.
  • Çetkin, V. and Aygün, H., A new approach to neutrosophic subrings, submitted.
  • Hungerford, T. W., Algebra, Graduate Texts in Mathematics 73, Springer 1974.
  • Vasantha Kandasamy W.B., and Smarandache, F., Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
  • Majumdar, P. and Samanta, S.K., On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy Systems 26 (3), 1245-1252, 2014.
  • Salama A.A., and Al-Blowi, S.A., Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Math. 3, (4) 31-35, 2012.
  • Shabir, M., Ali, M., Naz, M. and Smarandache, F., Soft neutrosophic group, Neutrosophic Sets and Systems 1, 13-25, 2013.
  • Smarandache, F., A unifying eld in logics. Neutrosophy/ Neutrosophic Probability, Set and Logic, Rehoboth: American Research Press (1998) http://fs.gallup.unm.edu/eBook- neutrosophics6.pdf (last edition online).
  • Wang,H., et al., Single valued neutrosophic sets, Proc. of 10th Int. Conf. on Fuzzy Theory and Technology, Salt Lake City, Utah, July 21-26, 2005.

On neutrosophic submodules of a module

Year 2017, Volume: 46 Issue: 5, 791 - 799, 01.10.2017

Abstract

The target of this study is to observe some of the algebraic structures of a single valued neutrosophic set. So, we introduce the concept of a neutrosophic submodule of a given classical module and investigate some of the crucial properties and characterizations of the proposed concept.

References

  • Arockiarani, I., Sumathi, I. R. and Martina Jency, J., Fuzzy neutrosophic soft topological spaces, International Journal of Mathematical Arhchive 6 (10), 225-238, 2013.
  • Borzooei, R.A., Farahani, H. and Moniri, M., Neutrosophic deductive lters on BL-algebras, Journal of Intelligent and Fuzzy Systems 26 (6), 2993-3004, 2014.
  • Çetkin, V. and Aygün, H., An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29, 1941-1947, 2015.
  • Çetkin, V. and Aygün, H., A new approach to neutrosophic subrings, submitted.
  • Hungerford, T. W., Algebra, Graduate Texts in Mathematics 73, Springer 1974.
  • Vasantha Kandasamy W.B., and Smarandache, F., Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
  • Majumdar, P. and Samanta, S.K., On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy Systems 26 (3), 1245-1252, 2014.
  • Salama A.A., and Al-Blowi, S.A., Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Math. 3, (4) 31-35, 2012.
  • Shabir, M., Ali, M., Naz, M. and Smarandache, F., Soft neutrosophic group, Neutrosophic Sets and Systems 1, 13-25, 2013.
  • Smarandache, F., A unifying eld in logics. Neutrosophy/ Neutrosophic Probability, Set and Logic, Rehoboth: American Research Press (1998) http://fs.gallup.unm.edu/eBook- neutrosophics6.pdf (last edition online).
  • Wang,H., et al., Single valued neutrosophic sets, Proc. of 10th Int. Conf. on Fuzzy Theory and Technology, Salt Lake City, Utah, July 21-26, 2005.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Vildan Çetkin This is me

Banu Pazar Varol This is me

Halis Aygün

Publication Date October 1, 2017
Published in Issue Year 2017 Volume: 46 Issue: 5

Cite

APA Çetkin, V., Pazar Varol, B., & Aygün, H. (2017). On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics, 46(5), 791-799.
AMA Çetkin V, Pazar Varol B, Aygün H. On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics. October 2017;46(5):791-799.
Chicago Çetkin, Vildan, Banu Pazar Varol, and Halis Aygün. “On Neutrosophic Submodules of a Module”. Hacettepe Journal of Mathematics and Statistics 46, no. 5 (October 2017): 791-99.
EndNote Çetkin V, Pazar Varol B, Aygün H (October 1, 2017) On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics 46 5 791–799.
IEEE V. Çetkin, B. Pazar Varol, and H. Aygün, “On neutrosophic submodules of a module”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, pp. 791–799, 2017.
ISNAD Çetkin, Vildan et al. “On Neutrosophic Submodules of a Module”. Hacettepe Journal of Mathematics and Statistics 46/5 (October 2017), 791-799.
JAMA Çetkin V, Pazar Varol B, Aygün H. On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics. 2017;46:791–799.
MLA Çetkin, Vildan et al. “On Neutrosophic Submodules of a Module”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, 2017, pp. 791-9.
Vancouver Çetkin V, Pazar Varol B, Aygün H. On neutrosophic submodules of a module. Hacettepe Journal of Mathematics and Statistics. 2017;46(5):791-9.